GCD of 637, 596, 406, 800 Calculator

Given Input numbers are 637, 596, 406, 800

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 637, 596, 406, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 596, 406, 800 is 1.

Therefore, GCD of numbers 637, 596, 406, 800 is 1

Given Input Data is 637, 596, 406, 800

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(637, 596) = 379652

GCD(637, 596) = ( 637 x 596 ) / 379652

GCD(637, 596) = 379652 / 379652

GCD(637, 596) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 637, 596, 406, 800 is 1

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1. What is the GCD of 637, 596, 406, 800?

GCD of 637, 596, 406, 800 is 1

2. Where do I get the detailed procedure to find GCD of 637, 596, 406, 800?

You can find a detailed procedure to find GCD of 637, 596, 406, 800 on our page.

3. How to find GCD of 637, 596, 406, 800 on a calculator?

You can find the GCD of 637, 596, 406, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.